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Directions: Read the information carefully and answer the question.
Three companies L, M and N participated for campus recruitment in college Z. All the three companies selected an equal number of candidates. There were 60 candidates who were selected by L and M both. The number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M. There were 28 candidates who got placed in all the 3 companies. This number was 50% less than the number of candidates selected by both L and N. The total number of candidates selected by both L and N was 91.88% less than total number of candidates selected by all the three company.
Q. How many candidates were selected by only company M?
  • a)
    130
  • b)
    146
  • c)
    220
  • d)
    240
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Directions: Read the information carefully and answer the question.Th...
Given Information:
- Three companies L, M, and N participated in campus recruitment in college Z.
- All three companies selected an equal number of candidates.
- 60 candidates were selected by both companies L and M.
- The number of candidates selected by both companies M and N was 68 less than twice the number of candidates selected by both companies L and M.
- 28 candidates got placed in all three companies.
- This number was 50% less than the number of candidates selected by both companies L and N.
- The total number of candidates selected by both companies L and N was 91.88% less than the total number of candidates selected by all three companies.

Objective:
To determine the number of candidates selected by only company M.

Solution:
Let's assume the number of candidates selected by each company as "x".

Number of candidates selected by both companies L and M:
- Given that 60 candidates were selected by both companies L and M.
- Therefore, the number of candidates selected by both companies L and M = 60.

Number of candidates selected by both companies M and N:
- Let's assume the number of candidates selected by both companies M and N as "y".
- According to the given information, the number of candidates selected by both companies M and N was 68 less than twice the number of candidates selected by both companies L and M.
- Mathematically, we can represent this as: y = 2x - 68.

Number of candidates selected by all three companies:
- Given that 28 candidates got placed in all three companies.
- Therefore, the number of candidates selected by all three companies = 28.

Number of candidates selected by both companies L and N:
- Let's assume the number of candidates selected by both companies L and N as "z".
- According to the given information, this number was 50% less than the number of candidates selected by both companies L and N.
- Mathematically, we can represent this as: 0.5z = (2x - 68).

Total number of candidates selected by both companies L and N:
- Given that the total number of candidates selected by both companies L and N was 91.88% less than the total number of candidates selected by all three companies.
- Mathematically, we can represent this as: z = 0.1188(3x).

Solving the equations:
1. From the equation y = 2x - 68, we can substitute the value of x as 60 (from the given information) to find the value of y.
y = 2(60) - 68
y = 120 - 68
y = 52

2. From the equation 0.5z = (2x - 68), we can substitute the value of x as 60 (from the given information) to find the value of z.
0.5z = (2(60) - 68)
0.5z = 120 - 68
0.5z = 52
z = 52 / 0.5
z = 104

3. From the equation z = 0.1188(3
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Community Answer
Directions: Read the information carefully and answer the question.Th...
The Venn diagram for the given problem is as given in figure 1.
Firstly, there are 28 candidates placed in all the 3 companies.
So, 28 goes into the common region.
Then, 60 candidates were selected by both L and M.
So, 60 - 28 = 32 goes into the region common only to L and M.
Now, number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M.
Thus, number of candidates selected by both M and N = 2 × 60 - 68 = 120 - 68 = 52
Thus, 52 - 28 = 24 goes into the region common to both M and N.
Now, number of candidates selected by both L and N = 2 × 28 = 56
Thus, 56 - 28 = 28 goes into the region common to both L and N.
Now, let the total number of candidates selected = T
Number of candidates selected by both L and N = 56
So, 56 = T(1 - 0.9188) or T = 690
As equal number of candidates were selected by the 3 companies, the number of candidates in each company = 690/3 = 230
Thus, 230 - (32 + 28 + 28) = 230 - 88 = 142 goes into the region exclusive to L.
230 - (28 + 28 + 24) = 230 - 80 = 150 goes into the region exclusive to N.
230 - (32 + 28 + 24) = 230 - 84 = 146 goes into the region exclusive to M.
From the Venn diagram, it is obvious that number of candidates selected by only company M = 146
Hence, answer option (b) is correct.
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Directions: Read the information carefully and answer the question.Three companies L, M and N participated for campus recruitment in college Z. All the three companies selected an equal number of candidates. There were 60 candidates who were selected by L and M both. The number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M. There were 28 candidates who got placed in all the 3 companies. This number was 50% less than the number of candidates selected by both L and N. The total number of candidates selected by both L and N was 91.88% less than total number of candidates selected by all the three company.Q. How many candidates were selected by only company M?a)130b)146c)220d)240Correct answer is option 'B'. Can you explain this answer?
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Directions: Read the information carefully and answer the question.Three companies L, M and N participated for campus recruitment in college Z. All the three companies selected an equal number of candidates. There were 60 candidates who were selected by L and M both. The number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M. There were 28 candidates who got placed in all the 3 companies. This number was 50% less than the number of candidates selected by both L and N. The total number of candidates selected by both L and N was 91.88% less than total number of candidates selected by all the three company.Q. How many candidates were selected by only company M?a)130b)146c)220d)240Correct answer is option 'B'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Directions: Read the information carefully and answer the question.Three companies L, M and N participated for campus recruitment in college Z. All the three companies selected an equal number of candidates. There were 60 candidates who were selected by L and M both. The number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M. There were 28 candidates who got placed in all the 3 companies. This number was 50% less than the number of candidates selected by both L and N. The total number of candidates selected by both L and N was 91.88% less than total number of candidates selected by all the three company.Q. How many candidates were selected by only company M?a)130b)146c)220d)240Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Read the information carefully and answer the question.Three companies L, M and N participated for campus recruitment in college Z. All the three companies selected an equal number of candidates. There were 60 candidates who were selected by L and M both. The number of candidates selected by both M and N was 68 less than twice the number of candidates selected by both L and M. There were 28 candidates who got placed in all the 3 companies. This number was 50% less than the number of candidates selected by both L and N. The total number of candidates selected by both L and N was 91.88% less than total number of candidates selected by all the three company.Q. How many candidates were selected by only company M?a)130b)146c)220d)240Correct answer is option 'B'. Can you explain this answer?.
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